ABSTRACT
The paper presents a new variable reduction scheme for finite-difference modeling of mixed-boundary-value elastic problems of solid mechanics. The application of the scheme is demonstrated for both the cases of two-and three-dimensional problems. In this approach, the elastic problems are formulated in terms of a single potential function, defined in terms of the displacement components. Based on the scheme, an efficient finite-difference method of solution has been developed for the mixed-boundary-value stress problems. Compared to the conventional models, the present method is capable of providing numerical solution of higher accuracy with a tremendous saving in the computation effort.
